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Finding the Fourth Proportional to 218.52, 328.04 and 182.88

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Solution

The fourth proportional to 218.52, 328.04 and 182.88 is: 274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.52 : 328.04 = 182.88 : x
  2. Step 2: Convert to fraction form
    218.52/328.04 = 182.88/x
  3. Step 3: Cross multiply
    218.52x = 328.04 × 182.88
  4. Step 4: Simplify right side
    218.52x = 59,991.96
  5. Step 5: Solve for x
    x = 59,991.96/218.52
  6. Step 6: Final answer
    x = 274.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.